\begin{tikzpicture}
    \pgfmathsetmacro{\factor}{0.1}
    \pgfmathsetmacro{\ac}{57 * \factor}
    \pgfmathsetmacro{\bac}{27} % \alpha
    \pgfmathsetmacro{\acb}{35} % \beta

    \pgfmathsetmacro{\abc}{180 - \bac - \acb}
    \pgfmathsetmacro{\ab}{sin(\acb) * \ac / sin(\abc)}

    \coordinate ["$A$" below] (A) at (0, 0);
    \coordinate ["$B$" below] (B) at (\ab, 0);
    \coordinate ["$C$" above] (C) at (\bac:\ac);
    \coordinate ["$D$" above] (D) at ($(C) - (\ab, 0)$);

    \draw (A) -- (B) -- (C) -- (D) -- cycle;
    \draw (A) -- (C);
    \draw pic [draw, "$\alpha$", angle radius=1.5em, angle eccentricity=1.5] {angle=B--A--C};
    \draw pic [draw, "$\beta$",  angle radius=1.8em, angle eccentricity=1.5] {angle=C--A--D};
\end{tikzpicture}


